Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems
V. P. Ruban
Abstract
An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated with the help of the Hamiltonian formalism. The equations of motion of the system are derived for an arbitrary given topology of the vorticity field. The general form of the Lagrangian for frozen-in vortex lines is established. The local induction approximation for motion of slender vortex filaments in several inhomogeneous physical models is studied.
Create a lesson
Related papers
Second-order fluids and the choice of objective derivative
Maxwell C. Marsh, Randy H. Ewoldt
Versatile two-layer model for thermohydraulic prediction of microchannel heat sinks
Chih-Hsiang Chen, Kentaro Yaji
Onset condition of the ramified-jet regime: an experimental and theoretical study
Bor Zupan, Jernej Kušar, Božidar Šarler
Fingering instability of thin films with an inclined contact line
Ze-Hui Gao, Er-Qiang Li, Peng Gao
A ghost-cell immersed boundary method for the shallow water equations on Cartesian grids: mass conservation and wetting and drying over variable topography
Yuta Yaegashi
Nonlocal generalization of the Chapman-Enskog method and hydrodynamic equations. Nonlocal vorticity transport in a turbulent medium
A. B. Kukushkin